Stationary Measures for Random Dynamical Systems

• Grant number: 23/06566-8
• Support Opportunities: Scholarships in Brazil - Master
• Start date: August 01, 2023
• End date: June 30, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Tiago Pereira da Silva
• Grantee: Bella Rocxane Martins Figliaggi
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry, AP.CEPID
• Associated scholarship(s): 24/20080-3 - Transfer Operators for Random Dynamical Systems, BE.EP.MS

Abstract

In modeling and understanding several real phenomena, for example climate dynamics, it is necessary to incorporate randomness into the model, thus showing the relevance of studying random dynamic systems. This project proposes the study of the theory of random dynamical systems and the construction of stationary measures with applications in the system of iterative functions and proceeding to the construction of Markov Chains.